Constructing nets of 3D Shapes

Learning Objective:

• We are learning to construct a net of various 3D shapes
• By the end of the lesson you will be able to draw a net of a cube, cuboid, square based pyramid, triangular prism, hexagonal prism, an octahedron

Investing:

• This is useful because we learn to identify, visualise and describe properties of 3D shapes
• A functional (real-life) application is being able to calculate the cardboard needed when making boxes for various items in a shop
• This skill leads to finding the surface area of 3D shapes
• A 'free gift' with this skill is that we can now also construct equilateral triangles
• This could help you if you want to work in retail design creating and shaping instore displays communication

Preparing:

• Are we ready? Can you already draw a net of a cube?
• Let's be sure you can use a compass to draw shapes accurately
• Before you start you need to know: the number of faces on each 3D shapes
• You will have a deeper understanding if you also know: the dimensions of each face

Discovering:

• Can you figure it out yourself from these examples shown on the video? Click on this link to start the video bbc
• Can you match up the items with the boxes?
• Try to predict the next one aloud or on a mini-whiteboard.
• Investigate using solid 3D shapes to help draw the net on plain card. Do you know how to glue the sides together?

Modeling:

• Here are some examples of people getting it right:
• Here are some examples of people getting it wrong in typical ways:
• Here are some more examples. Did they get it right or wrong? Explain how you know!

Discussing:

• An octahedron, how many faces would this shape have? What would the each face look like? Tell your learning partner. Convince them you're right.
• Explain how you know.
• How would you explain this to someone who was new to it?

Explaining:

• One way to do this is...
• Another approach might be...
• A useful shortcut is to...
• This works because...
• It doesn't work when...
• An exception is...
• Watch out for...
• A common mistake is...
• You can check your result by...
• We can prove this works by...

Practicing:

• Some straightforward examples of cubes and cuboids
• Some mixed examples of triangular prisms and pyramids
• Some harder examples of hexagonal prisms and octahedrons
• Some non-examples to spot and some mixed questions with redundant, insufficient or contradictory data.
• You can demonstrate fluency by at least...

Sharing:

• A web page or wiki I have created to explain this can be found at...
• A presentation I have created and rehearsed looks like...
• A poster I have drawn or model I have made can be found...

Assessing:

• Check you've mastered this skill by...
• Show you understand by explaining...
• Prove you're an expert in... by...

Developing:

• Next we could learn...
• This leads to...
• Now try...